Constrained Spline approximation

In this paper, we find the relationships between the order of constrained approximation by a polynomials which is copositive with a function (f), by modulus of smoothness τk−1 , to the function ?́? ,which is multiply by Jc , and between the best approximation to the pairs of "intertwining splines of a polynomials" in I = [−b, b] , and the same of relationships but by the modulus of smoothness ωk−1 φ to the function ?́? multiply by n |Jc| . Also we find the order of constrained approximation to the pairs of intertwining polynomials in ( li⋃li+1 ) .